First, distribute the numbers on each side of the equation:
6(7x-11) = 42x - 66-13(x-6) = -13x + 7814(2x+1) = 28x + 14
Now substitute these back into the original equation:
42x - 66 - 13x + 78 = 28x + 14
Combine like terms:
29x + 12 = 28x + 14
Subtract 28x from both sides:
x + 12 = 14
Subtract 12 from both sides:
x = 2
So the solution to the equation is x = 2.
First, distribute the numbers on each side of the equation:
6(7x-11) = 42x - 66
-13(x-6) = -13x + 78
14(2x+1) = 28x + 14
Now substitute these back into the original equation:
42x - 66 - 13x + 78 = 28x + 14
Combine like terms:
29x + 12 = 28x + 14
Subtract 28x from both sides:
x + 12 = 14
Subtract 12 from both sides:
x = 2
So the solution to the equation is x = 2.